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SOTA Dilations Demo

SOTA Dilations Demo
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2016-03-14 19:42
VectorTransformationGeometric Construction
This example demonstrates dilation transformations in 2D space and their effects on shapes; involves core math concepts like dilation, vectors, reflection, parametric curves, and distributions; constructed using GeoGebra commands Polygon, Intersect, Dilate; suitable for high school students and teachers learning transformation geometry and vector operations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Dilate(A, r, D) → A'
  4. Dilate(B, r, D) → B'
  5. Dilate(C, r, D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'

AI Drawing Prompt Reference

Draw a demonstration of dilation transformations in 2D space, start by creating a triangle, then find the intersection point of the coordinate axes as the center of dilation, scale each vertex of the triangle by the same ratio around this center, and finally draw a new triangle using the scaled vertices to show the effect of the dilation transformation.
The prompt above was compiled from the original drawing commands and is for reference only.